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Expansion of the Disturbing Function by Factorization
Published online by Cambridge University Press: 12 April 2016
Abstract
We present an expansion of the disturbing function for the third-body perturbations in the form , where ε is the ratio of semi-major axes (a/a’) and Xnm and Ynm depend only on the five elements e, i, ω, Ω, of the satellite while
and
depend on the corresponding elements of the perturbing body. Each one of the four functions X and Y is represented as a product of two factors as opposed to three factors in our previous publication of this subject (Broucke, 1981). We develop several relations for the construction of the X and Y-series. These series are relatively short and can be computed in advance and stored on magnetic tape, for instance.
- Type
- Part IV
- Information
- International Astronomical Union Colloquium , Volume 63: High-Precision Earth Rotation and Earth-Moon Dynamics , May 1981 , pp. 337 - 348
- Copyright
- Copyright © Reidel 1982